Publications [#340355] of Hau-Tieng Wu
Papers Published
- Lin, CY; Su, L; Wu, HT. "Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis." Journal of Fourier Analysis and Applications 24.2 (April, 2018): 451-505. [doi]
(last updated on 2024/08/25)Abstract:
We propose to combine cepstrum and nonlinear time–frequency (TF) analysis to study multiple component oscillatory signals with time-varying frequency and amplitude and with time-varying non-sinusoidal oscillatory pattern. The concept of cepstrum is applied to eliminate the wave-shape function influence on the TF analysis, and we propose a new algorithm, named de-shape synchrosqueezing transform (de-shape SST). The mathematical model, adaptive non-harmonic model, is introduced and the de-shape SST algorithm is theoretically analyzed. In addition to simulated signals, several different physiological, musical and biological signals are analyzed to illustrate the proposed algorithm.